A parallel tank circuit at resonance has a theoretical infinite impedance. However due to the resistance of L and C some power is dissipated so a small current will flow from the source.

If a parallel tank circuit is oscillated at it's resonant frequency and a capacitor (C2) is added in series the circuit's impedance will change. But will it change the resonant frequency?

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If the circuit has a diode (D1) in it the parallel tank will still resonante since the resonance takes place between the parallel L and C. So if a capacitor (C2) is added to the circuit will the resonant frequency change?